Finding the Fourth Proportional to 1,105.83, 1,658.99 and 325.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.83 : 1,658.99 = 325.80 : x
2. Step 2: Convert to fraction form
   1,105.83/1,658.99 = 325.80/x
3. Step 3: Cross multiply
   1,105.83x = 1,658.99 × 325.80
4. Step 4: Simplify right side
   1,105.83x = 540,499.76
5. Step 5: Solve for x
   x = 540,499.76/1,105.83
6. Step 6: Final answer
   x = 488.77